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2 years ago

If f(x)=|x+6|, find f(−10).

Mathematics

1 answer:

telo118 [61]2 years ago

7 0

Answer:

f(-10) = 4

Step-by-step explanation:

|x+6|

|(-10)+6|

|-4|

|| takes the absolute value of a number, meaning it turns negative numbers into positive numbers and keeps everything else the same.

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Suppose that a high school marching band has 86 members. Of these 86 band members, 26 are seniors, 17 play the trumpet, and 4 ar

GalinKa [24]

Answer: 0.3023

Step-by-step explanation:

86 band members

26 are senior, 17 plays trumpet. If 4 are seniors and play trumpet, we solve this using the bayes theorem of conditional probability.

Probability of choosing band member that plays trumpet =17/86 = 2/43.

Probability of choosing a senior that plays trumpet = 4/26

Probability that a chosen member is a senior given that he plays trumpet = (2/43)/(4/26)

= 0.3023.

8 0

3 years ago

Three friends arrange to meet at a park entrance, but each friend ends up at a different entrance, as shown in the diagram.

Sladkaya [172]

Answer:

A, B, & D

Step-by-step explanation:

Jaime is at the smallest angle from the two friends.

Pat is at an angle of 90° to Chris and Jaime.

If they meet at Pat’s entrance, then Chris will have walked a shorter distance than Jaime.

3 0

2 years ago

Read 2 more answers

Write the equation of the line that passes through the points (-4,8) and (-2, -1).

IRINA_888 [86]

Answer:

y=-9/2x-10

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-8)/(-2-(-4))

m=-9/(-2+4)

m=-9/2

y-y1=m(x-x1)

y-8=-9/2(x-(-4))

y-8=-9/2(x+4)

y=-9/2x-36/2+8

y=-9/2x-18+8

y=-9/2x-10

5 0

2 years ago

What is the value of x when solving the equation -x-1=3x-5

Rzqust [24]

x = 1

Here is why:

$-x-1=3x-5$

Add x to both sides.

$-1=4x-5$

Add 5 to both sides.

$4=4x$

Divide.

x = 1

5 0

3 years ago

Read 2 more answers

Jose takes a job that offers a monthly starting salary of $2200 and guarantees him a monthly raise of $105 during his first year

vodka [1.7K]

Answer:

$3355

Step-by-step explanation:

Since the job offers starting salary of $2200 and monthly raise of $105 during his first year of training.

∴ a = 2200 and d = 105

Since the general form of A.P is,

a, a + d, a + 2d, a + 3d, ............. $a_{n}$

Where, $a_{n}$ is the last term of A.P or his monthly salary at the end of his training and n is the number of terms in a series.

So, the A.P is:

2200, 2200 + 105, 2200 + 2(105) ......... $a_{n}$

2200, 2305, 2410 ............ $a_{n}$

Since there is 12 month in a year therefore, n = 12.

$a_{n} = a + (n - 1) d\\$

. $a_{n}$ = 2200 + ( 12 - 1) × 105

= 2200 + 11 × 105

= 2200 + 1155

= 3355

∴ . $a_{n}$ = 3355

So the monthly salary of Jose at the end of his training is 3355$.

8 0

3 years ago